Determine the number greater than 70 but less than 85 that is divisible by both 2 and 9.(1 point)

Responses

72
72

81
81

78
78

84

The number greater than 70 but less than 85 that is divisible by both 2 and 9 is 72.

The composite number 50 is between what two prime numbers?(1 point)

The composite number 50 lies between
and
, both prime numbers.

The composite number 50 lies between 47 and 53, both prime numbers.

Express the prime factorization of 1,200 as a product of prime numbers with exponents.(2 points)

4 ⋅

2 = 1,200

The prime factorization of 1,200 is 2^4 * 3 * 5^2.

Find the greatest common factor of 31 and 93.(1 point)

The greatest common factor of 31 and 93 is
.

The greatest common factor of 31 and 93 is 1.

Jazmyn has some strips of cloth she found for her project. The widths of the different strips are 72 cm, 96 cm, and 128 cm. They are to be cut into smaller pieces. Determine the greatest possible width of each piece so that they are all the same width.(1 point)

Responses

32 cm
32 cm

4 cm
4 cm

16 cm
16 cm

8 cm

The greatest possible width of each piece so that they are all the same width is 8 cm.

A toddler has 36 blocks, of which 16 are blue and 20 are pink. They want to sort the blocks so that each group has both colors of blocks. The toddler also wants each group to have an equal number of blue blocks and an equal number of pink blocks. Which answer best shows how the toddler should sort the blocks using the GCF and the Distributive Property of multiplication over addition?(1 point)

Responses

4(4×5)
4 left parenthesis 4 times 5 right parenthesis

2(8+10)
2 left parenthesis 8 plus 10 right parenthesis

4(4+5)
4 left parenthesis 4 plus 5 right parenthesis

1(16+20)
1 left parenthesis 16 plus 20 right parenthesis